In this paper, we investigate the parameter estimation problem for reflected OU processes. Both the estimates based on continuously observed processes and discretely observed processes are considered. The explicit formulas for the estimators are derived using the least squares method. Under some regular conditions, we obtain the consistency and establish the asymptotic normality for the estimators. Numerical results show that the proposed estimators perform well with moderate sample sizes.
翻译:在本文中,我们调查反映OU过程的参数估计问题。 考虑基于持续观察过程和独立观察过程的估计数。 估计者的明确公式是使用最小方形方法得出的。 在某些常规条件下,我们取得一致性,并为估计者确定无症状的正常性。 数字结果显示,拟议的估计者表现良好,抽样大小中等。